Answer:
Vertex ( 0 , 0) ; focus ( 0 , 6); directrix at y = -6 is the correct option.
Step-by-step explanation:
Given;
[tex]y = \frac{1}{24}x^{2}[/tex]
To Find:
Vertex, focus, and directrix at y=?
Solution:
[tex]y = \frac{1}{24}x^{2}[/tex]
[tex]x^{2} = 24y[/tex]
x² = 4×6×y
The above equation is a equation of Parabola.with can be written in the standard form as given below,
[tex]x^{2} = 4by[/tex]
Where,
Vertex ≡ ( 0 , 0 )
Focus ≡ ( 0 , b )
directrix, y = -b
On comparing this general formula for the above we get
b = 6
Vertex ≡ ( 0 , 0 )
Focus ≡ ( 0 , 6 )
directrix, y = -6
